13053740249088 has 312 divisors, whose sum is σ = 47010339732096. Its totient is φ = 3390581145600.

The previous prime is 13053740249083. The next prime is 13053740249089. The reversal of 13053740249088 is 88094204735031.

It is a happy number.

13053740249088 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 3 + 74 + 0 + 2 + 490 + 88 = 666.

13053740249088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13053740249083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539143 + ... + 5137913.

It is an arithmetic number, because the mean of its divisors is an integer number (150674165808).

Almost surely, 2^{13053740249088} is an apocalyptic number.

13053740249088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13053740249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23505169866048).

13053740249088 is an abundant number, since it is smaller than the sum of its proper divisors (33956599483008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13053740249088 is a wasteful number, since it uses less digits than its factorization.

13053740249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598819 (or 4598794 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13053740249088 in words is "thirteen trillion, fifty-three billion, seven hundred forty million, two hundred forty-nine thousand, eighty-eight".